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A vessel of depth 2 h is half filled with a liquid of refractive index 2 2 and the upper half with another liquid of refractive index 2 . The liquids are immiscible. The apparent depth of the inner surface of the bottom of the vessel will be

Options

  1. Ah 2
  2. Bh 2 2 + 1
  3. Ch 3 2
  4. D3 2 h 4

Correct answer

D. 3 2 h 4

Step-by-step solution

d = h 2 + h 2 2 ⇒ d = h 2 × 3 2 = 3 2 h 4

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